Theorems · Definition · algebraic topology

SSet.homotopyEquivNormalizedChainComplex

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasCoproducts C] →
      [inst_2 : CategoryTheory.Preadditive C] →
        (X : SSet) → (R : C) → HomotopyEquiv (X.chainComplex R) (X.normalizedChainComplex R)

The homotopy equivalence from X.chainComplex R to X.normalizedChainComplex R.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Homology.Nondegenerate

Cited by

2 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.Preadditive